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Simplifying 2(3p + 8) + 3(2p + -1) = 0 Reorder the terms: 2(8 + 3p) + 3(2p + -1) = 0 (8 * 2 + 3p * 2) + 3(2p + -1) = 0 (16 + 6p) + 3(2p + -1) = 0 Reorder the terms: 16 + 6p + 3(-1 + 2p) = 0 16 + 6p + (-1 * 3 + 2p * 3) = 0 16 + 6p + (-3 + 6p) = 0 Reorder the terms: 16 + -3 + 6p + 6p = 0 Combine like terms: 16 + -3 = 13 13 + 6p + 6p = 0 Combine like terms: 6p + 6p = 12p 13 + 12p = 0 Solving 13 + 12p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 12p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 12p = 0 + -13 12p = 0 + -13 Combine like terms: 0 + -13 = -13 12p = -13 Divide each side by '12'. p = -1.083333333 Simplifying p = -1.083333333
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